Q. The amount of fish caught every week on a trawler is a function of the crew size assigned to operate the boat. Based on past date, the following production schedule was developed:

Crew Size Amount of Fish Caught
(Number of Workers) Every Week (Hundreds of lbs.)

2 3
3 6
4 11
5 19
6 24
7 28
8 31
9 33
10 34
11 34
12 33

Suppose the owner of the trawler can sell al the fish caught for $75 every 100 pounds also can hire a man crew members as desired by paying them $150 every week. Assuming that the owner of the trawler is interested in maximizing profits, conclude the optimal crew size.